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It is very important. Incorrect conclusions can be reached when the sample does not represent the underlying population. Experimental studies frequently go to great lengths to insure an unbiased sample. In observational studies, the statistician may identify factors which could make his sample not representative of the population. I will give you a real example. The US Fish and Wildlife Division conducted a study of the area that Florida cougars roam the Everglades. They tagged and tracked the movements by GPS. By using only daytime data in their computer models, a time when the cougars were more likely to sleep, they underestimated the distance the cougars could roam. You may be able to find many examples of biasing the data, either at the collection stage or later culling out certain data (as was done in the cougar example).
What else can I help you with?
When a sample is representative of a population is said to be what?
When a sample is representative of a population, it is said to be a "probability sample" or simply a "representative sample." This means that the characteristics of the sample accurately reflect those of the larger population, allowing for valid inferences and generalizations. Such samples are essential in statistical analysis to ensure the findings can be applied to the entire population.
What are the disadvantages of non probability sampling?
It is quite likely that the sample is not representative of the population and so while statistical conclusion may be valid for the sample, they may not apply to the population.
When the population standard deviation is known the sample distribution is a?
When the population standard deviation is known, the sample distribution is a normal distribution if the sample size is sufficiently large, typically due to the Central Limit Theorem. If the sample size is small and the population from which the sample is drawn is normally distributed, the sample distribution will also be normal. In such cases, statistical inference can be performed using z-scores.
Why is it important to have a representative sample when doing surveys?
Because without representative sample, your results will not be valid.
What is not dependent on the size of a sample?
In general the mean of a truly random sample is not dependent on the size of a sample. By inference, then, so is the variance and the standard deviation.
The purpose of statistical inference is to provide information about the?
The purpose of statistical inference is to obtain information about a population form information contained in a sample.
Why is obtaining a representative sample important?
Many statistical statements for a population which are based on a sample are not valid if the sample is not representative.
What is the meaning of the term statistical inference?
Statistical inference is a conclusion about the value of a population parameter based on information from the corresponding sample statistic and the associated probability distribution.
The process of using sample statistics to draw conclusions about true population parameters?
statistical inference
When a sample is representative of a population is said to be what?
When a sample is representative of a population, it is said to be a "probability sample" or simply a "representative sample." This means that the characteristics of the sample accurately reflect those of the larger population, allowing for valid inferences and generalizations. Such samples are essential in statistical analysis to ensure the findings can be applied to the entire population.
What difference between Statistical Sampling and non-statistical sampling?
Statistical sampling is an objective approach using probability to make an inference about the population. The method will determine the sample size and the selection criteria of the sample. The reliability or confidence level of this type of sampling relates to the number of times per 100 the sample will represent the larger population. Non-statistical sampling relies on judgment to determine the sampling method,the sample size,and the selection items in the sample.
What is the object of sampling operation in analytical chemistry?
The purpose is to obtain a statistical representative sample from the material to be tested.
What are the disadvantages of non probability sampling?
It is quite likely that the sample is not representative of the population and so while statistical conclusion may be valid for the sample, they may not apply to the population.
What is the difference between convenience judgment and random sampling?
Non-probability or Judgement Samples has to do with a basic researcher assumptions about the nature of the population, the researcher assumes that any sample would be representative to the population,the results of this type of samples can not be generalized to the population(cause it may not be representative as the research assumed) and the results may be biased. Probability or Random samples is a sample that to be drawn from the population such that each element in the population has a chance to be in the selected sample the results of the random samples can be used in Statistical inference purposes
Scientific definition of inference?
Actually inference is based upon statistical evaluation of data. Inference is a generalization made about a defined "population" from data obtained from one or more "samples". Each member of the population must have an equal chance of being included into a sample. An example would be when a number of people from a particular state are asked who they would vote for. The "inference" would be a generalization that the state favors a particular candidate 55% TO 45%. The validity of the inference would depend upon sample size and how true the sampling was to giving every member of the sampled population (the entire state) an equal chance to be included in the sample.
When the population standard deviation is known the sample distribution is a?
When the population standard deviation is known, the sample distribution is a normal distribution if the sample size is sufficiently large, typically due to the Central Limit Theorem. If the sample size is small and the population from which the sample is drawn is normally distributed, the sample distribution will also be normal. In such cases, statistical inference can be performed using z-scores.
Why is it important to have a representative sample when doing surveys?
Because without representative sample, your results will not be valid.
